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Finding the Fourth Proportional to 465,432.75, 698,135.23 and 128,493.96

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Solution

The fourth proportional to 465,432.75, 698,135.23 and 128,493.96 is: 192,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,432.75 : 698,135.23 = 128,493.96 : x
  2. Step 2: Convert to fraction form
    465,432.75/698,135.23 = 128,493.96/x
  3. Step 3: Cross multiply
    465,432.75x = 698,135.23 × 128,493.96
  4. Step 4: Simplify right side
    465,432.75x = 89,706,160,318.21
  5. Step 5: Solve for x
    x = 89,706,160,318.21/465,432.75
  6. Step 6: Final answer
    x = 192,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.